Question

Angle ACB is inscribed in arc ACB of a circle with centre Of. If angle ACB = 65° , find m (arc ACB) :
a)130°
b) 295°
c)230°
d)65°​

Answer 1

Step-by-step explanation:

Given angle ACB is inscribed in arc of circle with centre o. Major arc m Angle ACB = 65 degree.

• So angle formed at the centre is twice the angle subtended by the similar arc at tve circumference of the circle.
• So m angle AOB = 2 x m angle ACB
• So m angle AOB = 2 x 65
• So m angle AOB = 130 degree
• Now major arc is given by subtracting complete angle and measure of central angle
• Therefore measure of major arc will be 360 – 130 = 230 degree

Reference link will be

https://brainly.in/question/7211990